5 problems

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Extension of empirical process results from i.i.d. to dependent data
Consider empirical process results whose analysis separates the size of the function class from the stochastic properties of the underlying process. Extension conjecture. The theor…
Conjectureopendependent-data empirical-processesarXiv posted 2 days ago
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Relaxation of independence to a mixing condition for aggregated knockoffs
Let $W_j$ denote the knockoff statistics used in the AKO+BH procedure, and suppose that Assumption … can be relaxed to some mixing condition. The conjecture is motivated by the fac…
Conjectureopendependent-data false-discovery-rate multiple-knockoffsarXiv posted 2 days ago
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MHDAIC prediction-rate conjecture for multivariate high-dimensional regression
MHDAIC prediction-rate conjecture. The quantity
Conjectureopendependent-data high-dimensional-regression model-selectionarXiv posted 2 days ago
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Extension of Koltchinskii and Lounici's result to geometrically mixing data
The setting concerns high-dimensional data with weak temporal dependence, and Talagrand's majorizing-measures approach to removing the extra multiplicative dimension factor from th…
Conjectureopenconcentration-inequalities dependent-data random-matricesarXiv posted 2 days ago
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Asymptotic normality conjecture for the incomplete quadratic density estimator
Asymptotic normality conjecture.
Conjectureopenasymptotic-normality dependent-data nonparametric-statisticsarXiv posted 2 days ago

5 problems

Extension of empirical process results from i.i.d. to dependent data

Relaxation of independence to a mixing condition for aggregated knockoffs

MHDAIC prediction-rate conjecture for multivariate high-dimensional regression

Extension of Koltchinskii and Lounici's result to geometrically mixing data

Asymptotic normality conjecture for the incomplete quadratic density estimator